Question

Using Euler’s Formula (F + V = E + 2), find the number of vertices.

Edges: 33
Faces: 18
Vertices: ?

Answer 1

I don't know euler's formula but I can guess that the one you gave is enough

F=18
V=?
E=33
so

18+?=33+2
18+?=35
minus 18 from both siddes
?=17

vertices is 17

Answer 2

Vertices: 17

Explanation:

Given the statement:

Here, E represents the number of Edges , F represents the number of Faces and V represents the number of vertices

then;

Edges(E) = 33

Faces(F) = 18

We have to find number of vertices.

Using Euler’s Formula

F + V = E + 2:

then;

18+V= 33+2

⇒18+V = 35

Subtract 18 from both sides we have;

V = 17

Therefore, the number of vertices = 17